472542400000 has 240 divisors, whose sum is σ = 1287459003600. Its totient is φ = 171827200000.

The previous prime is 472542399991. The next prime is 472542400007. The reversal of 472542400000 is 4245274.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472542400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17586576 + ... + 17613424.

It is an arithmetic number, because the mean of its divisors is an integer number (5364412515).

Almost surely, 2^472542400000 is an apocalyptic number.

472542400000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643729501800).

472542400000 is an abundant number, since it is smaller than the sum of its proper divisors (814916603600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472542400000 is an frugal number, since it uses more digits than its factorization.

472542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26903 (or 26867 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

Adding to 472542400000 its reverse (4245274), we get a palindrome (472546645274).

The spelling of 472542400000 in words is "four hundred seventy-two billion, five hundred forty-two million, four hundred thousand".